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Find the position vector of a point R wh...

Find the position vector of a point `R` which divides the line joining two points `P` and `Q` whose position vectors are `(2 veca+vecb)` and `(veca-3 vecb)` externally in the ratio `1: 2` Also show that `P` is the mid point of the line segment RQ.

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V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If theta is the angle between any two vectors veca and vecb, then |vec...

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  2. Prove that the Iine joining the midpoints of the two sides of a triang...

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  3. Find the projection of vector hati-hatj on the vector hati+hatj

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  4. Show that the line segment joining the midpoints of two 'sides of a t...

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  5. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

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  6. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

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  7. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

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  8. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

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  9. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

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  10. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

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  11. Show that the diagonals of a quadrilateral bịsect each other if and on...

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  12. Prove that the quadrilatral formed by joining the mid points of the si...

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  13. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

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  14. The vectors of magnitude a, 2a, 3a meet at a point and their direction...

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  15. Find the unit vector in the direction of vector 'vecP Q', where 'P' an...

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  16. Find the còndition that the vectors veca=k hati+l hatj and vecb=l hati...

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  17. Find the position vector of a point R which divides the line joining t...

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  18. Find the length of the medians of the triangle formed by A(4,2), B(1,...

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  19. Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati...

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  20. Show that the four points A, B, C and D with position vectors veca, ve...

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